Topic 5: Misspecifications Flashcards
Omitted Relevant Variable
- what are the consequences?
Biased coefficient estimates of the included variables correlated with the omitted ones
Omitted Relevant Variable
- what is it and what causes it?
Variable that is correlated with the included variables but not included in the model
Omitted Relevant Variable
- how to detect it?
- theory
- significant unexpected signs
- RESET test
Omitted Relevant Variable
- remedy?
Include omitted variable or a proxy
Irrelevant Variable
- what is it and what causes it?
The inclusion of an unnecessary variable
Irrelevant Variable
- what are the consequences?
Lowers precision of model
• inflated standard errors
• low t-ratios
Irrelevant Variable
- how to detect it?
- theory
- t-test on beta
- adjusted r^2 increases if variable is dropped
Irrelevant Variable
- remedy?
Exclude the irrelevant variable
Incorrect Functional Form
- what is it and what causes it?
The functional form of the model might not be linear
Incorrect Functional Form
- what are the consequences?
- biased and inconsistent estimates
* poor fit of model (low R^2)
Incorrect Functional Form
- how to detect it?
- theory
- Ramsey RESET
- scatter plot of Y with each of the X’s
Incorrect Functional Form
- remedy?
- transform data into logs to linearise model
* add higher order functions of the variables to capture curvature
Multicollinearity
- what is it and what causes it?
When some of the explanatory variables are highly correlated with one another
Multicollinearity
- what are the consequences?
- high R^2, coefficients high SEs -> low t-ratios
- regression sensitive to small changes
- wide confidence intervals for parameters, incorrect inferences from model
Multicollinearity
- how to detect it?
- Correlogram
* see R^2 of regression of X on all other X’s